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Finding the Fourth Proportional to 742.59, 1,114.61 and 352.85

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Solution

The fourth proportional to 742.59, 1,114.61 and 352.85 is: 529.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.59 : 1,114.61 = 352.85 : x
  2. Step 2: Convert to fraction form
    742.59/1,114.61 = 352.85/x
  3. Step 3: Cross multiply
    742.59x = 1,114.61 × 352.85
  4. Step 4: Simplify right side
    742.59x = 393,288.37
  5. Step 5: Solve for x
    x = 393,288.37/742.59
  6. Step 6: Final answer
    x = 529.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.